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Finding the Third Proportional to 203.45 and 437.83

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Solution

The third proportional to 203.45 and 437.83 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 437.83 = 437.83 : x
  2. Step 2: Convert to fraction form
    203.45/437.83 = 437.83/x
  3. Step 3: Cross multiply
    203.45x = 437.83 × 437.83
  4. Step 4: Simplify right side
    203.45x = 191,692.61
  5. Step 5: Solve for x
    x = 191,692.61/203.45
  6. Step 6: Final answer
    x = 942.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.